Biomedical Engineering Gate 2025 Questions with Answer
Ques 27 GATE 2025
A Wheatstone bridge is used to measure strain as shown in the figure below.
Initially the bridge was balanced. When a strain is applied to the resistor Rstrain, along its length, the output voltage VOUT is 10 mV. If Rstrain is a cylindrical resistor of length and cross-sectional area A, the magnitude of the applied strain is ______ (rounded off to two decimal places)

Ques 28 GATE 2025
A voltage source Vs=5 sin(100t+π/2) volts is driving a current I=10 sin(100t+π/6) mA through a circuit. The average power dissipated in the circuit is ______ mW.
Ques 29 GATE 2025
In the circuit shown below, Vin=10cos(1000t) volts. The magnitude of the input impedance of the circuit is ______ kΩ. (rounded off to one decimal place)

Ques 30 GATE 2025
For the RLC circuit shown below, the root mean square current (Irms) at the resonance frequency is ______ amperes. (rounded off to the nearest integer)

Ques 31 GATE 2025
The closed loop system shown below _______

Ques 32 GATE 2025
Which one of the following statements is CORRECT for any second order linear system with Proportional Integral Derivative (PID) controller?
Ques 33 GATE 2025
The determinant of a 3×3 matrix M is 8. If every element of M is multiplied by -2, the determinant of the modified matrix will be
Ques 34 GATE 2025
For any continuous and differentiable function f(x) with first derivative f'(x)≠0 for all values of x, which one of the following is ALWAYS TRUE for a≠b?
Here, a and b are finite and real.
Ques 35 GATE 2025
The eigenvalues of the matrix
are __________.
Ques 36 GATE 2025
If f(x)=x-1/x, the value of limΔx→0(f(1+Δx)-f(1))/Δx is
Ques 37 GATE 2025
N independent trials of a binomial random variable yield an expectation value of 16 and variance of 12. What is the value of N?
Ques 38 GATE 2025
Given a function y(x) satisfying the differential equation
y''-0.25y=0,
with initial conditions y(0)=1; y'(0)=1, what is the value of y(loge100)?
Here, y' and y'' are the first and second derivatives of y, respectively.
Ques 39 GATE 2025
Which of the following is/are CORRECT about the value of y=loge(-ex), where x is a real number.
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